Elementary Number Theory, Group Theory and Ramanujan Graphs (London Mathematical Society Student Texts)

by: Giuliana Davidoff, Peter Sarnak, Alain Valette

Details

# Hardcover: 154 pages

# Publisher: Cambridge University Press (January 27, 2003)

# Language: English

# ISBN-10: 0521824265

# ISBN-13: 978-0521824262

Description

This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.

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